Contractible 3-manifolds and the double 3-space property

Garity, Dennis (avtor), Repovš, Dušan (avtor), Wright, David (avtor)

Gabai showed that the Whitehead manifold is the union of two submanifolds each of which is homeomorphic to ▫$\mathbb{R}^3$▫ and whose intersection is again homeomorphic to ▫$\mathbb{R}^3$▫. Using a family of generalizations of the Whitehead Link, we show that there are uncountably many contractible 3-manifolds with this double 3-space property. Using a separate family of generalizations of the Whitehead Link and using an extension of interlacing theory, we also show that there are uncountably many contractible 3-manifolds that fail to have this property.

• Jezik: Angleški jezik
• Ključne besede: contractible 3-manifold, open 3-manifold, Whitehead Link, defining sequence, geometric index, McMillan contractible 3-manifold, Gabai Link
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2018
• Št. strani: Str. 2039-2055
• Številčenje: Vol. 370, no. 3
• PID: 20.500.12556/RUL-109014
• UDK: 515.124.5
• ISSN pri članku: 0002-9947
• DOI: 10.1090/tran/7035
• COBISS.SI-ID: 18165593

Opomba

Članek je bil izbran med dosežke Odlični v znanosti 2018 (http://www.arrs.si/sl/analize/publ/inc/19/ARRS-LP-18.pdf)

• Datum objave v RUL: 19.08.2019

Gradivo je del revije

• Naslov: Transactions of the American Mathematical Society
• Skrajšan naslov: Trans. Am. Math. Soc.
• Založnik: American Mathematical Society.
• ISSN: 0002-9947
• COBISS.SI-ID: 435213